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1138586790 = 235118938767
BaseRepresentation
bin100001111011101…
…0111010010100110
32221100110012110010
41003313113102212
54312434234130
6304551511050
740133554005
oct10367272246
92840405403
101138586790
11534780120
12279388486
13151b711c3
14ab304c3c
1569e590b0
hex43dd74a6

1138586790 has 64 divisors (see below), whose sum is σ = 3014599680. Its totient is φ = 272912640.

The previous prime is 1138586773. The next prime is 1138586791. The reversal of 1138586790 is 976858311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138586791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9987 + ... + 48753.

It is an arithmetic number, because the mean of its divisors is an integer number (47103120).

Almost surely, 21138586790 is an apocalyptic number.

1138586790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138586790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507299840).

1138586790 is an abundant number, since it is smaller than the sum of its proper divisors (1876012890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1138586790 is a wasteful number, since it uses less digits than its factorization.

1138586790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38877.

The product of its (nonzero) digits is 362880, while the sum is 48.

The square root of 1138586790 is about 33742.9517084679. The cubic root of 1138586790 is about 1044.2120812959.

The spelling of 1138586790 in words is "one billion, one hundred thirty-eight million, five hundred eighty-six thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 89 110 165 178 267 330 445 534 890 979 1335 1958 2670 2937 4895 5874 9790 14685 29370 38767 77534 116301 193835 232602 387670 426437 581505 852874 1163010 1279311 2132185 2558622 3450263 4264370 6396555 6900526 10350789 12793110 17251315 20701578 34502630 37952893 51753945 75905786 103507890 113858679 189764465 227717358 379528930 569293395 1138586790